On-Line Math 21, Summer, 2002, Chapter 6 Exam

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Confidentiality Statement: I hereby certify that I have neither received from, nor divulged to any other person, any information regarding the content of this exam. I further confirm that I have not enlisted the help of any person during this exam.

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Instructions:

You may use your textbook, on-line materials, and calcluator during this exam, but you are not allowed to obtain any assistance from any person during the exam.

You have 60 minutes to complete this exam, although it should not take you that long.

If you experience any technical difficulties that may have impacted your performance on the exam, contact your instructor as soon as possible.

1. Find the area between the curves y=x²+4x and y=2x+3. (10 points).

   Area =

2. Find the average value of the function f(x)=2x-x² on the interval [0,3]. (10 points).

   Average value =

3. Find the volume of the solid obtained by rotating the region bounded by the curves y=x²-x and y=x-x² about the y-axis. (15 points).

   Volume =

4. Find the volume of the solid obtained by rotating the region bounded by the curves y=x²+2, y=2x+1, and x=0 about the x-axis.(15 points)

   Volume =

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